Examine the arrow diagram below.
Polygon is a parallelogram → area of the polygon equals base times height.
Use an if…then statement.
Write this conjecture as a conditional (“If, then”) statement.
If a polygon is a parallelogram, then its area equals its base times its height.
Write the converse of this conditional statement. Is the converse statement a true statement?
If the area of a polygon is the base times its height, then the polygon is a parallelogram.
Write a similar conjecture about triangles. Write it once as a conditional statement and once as an arrow diagram.
Write the converse of your triangle conjecture from part (c). Is the converse statement true?